﻿#define _CRT_SECURE_NO_WARNINGS

#include "BinaryTree.h"

#include "Queue.h"

//前序遍历
void PreOrder(BTNode* root)
{
	if (root == NULL)
	{
		return;
	}
	printf("%c ", root->data);
	PreOrder(root->left);
	PreOrder(root->right);
}

//中序遍历
void MidOrder(BTNode* root)
{
	if (root == NULL)
	{
		return;
	}
	MidOrder(root->left);
	printf("%c ", root->data);
	MidOrder(root->right);
}

//后序遍历
void PostOrder(BTNode* root)
{
	if (root == NULL)
	{
		return;
	}
	PostOrder(root->left);
	PostOrder(root->right);
	printf("%c ", root->data);
}

//⼆叉树结点个数                                                                                    
int BinaryTreeSize(BTNode* root)
{
	if (root == NULL)
	{
		return 0;
	}
	return 1 + BinaryTreeSize(root->left) + BinaryTreeSize(root->right);
}

// ⼆叉树叶⼦结点个数
int BinaryTreeLeafSize(BTNode* root)
{
	if (root == NULL)
	{
		return 0;
	}
	if (root->left == NULL && root->right == NULL)
	{
		return 1;
	}
	return BinaryTreeLeafSize(root->left) + BinaryTreeLeafSize(root->right);
}

//⼆叉树第k层结点个数
int BinaryTreeLevelKSize(BTNode* root, int k)
{
	if (root == NULL)
	{
		return 0;
	}
	if (k == 1)
	{
		return 1;
	}
	int left = BinaryTreeLevelKSize(root->left, k - 1);
	int right = BinaryTreeLevelKSize(root->right, k - 1);
	return left + right;
}

//⼆叉树的深度/⾼度
int BinaryTreeDepth(BTNode* root)
{
	if (root == NULL)
	{
		return 0;
	}
	int left = 1 + BinaryTreeDepth(root->left);
	int right = 1 + BinaryTreeDepth(root->right);
	return left > right ? left : right;
}

//⼆叉树查找值为x的结点
BTNode* BinaryTreeFind(BTNode* root, BTDataType x)
{
	if (root == NULL)
	{
		return NULL;
	}
	if (root->data == x)
	{
		return root;
	}
	BTNode* left = BinaryTreeFind(root->left, x);
	if (left)
	{
		return left;
	}
	BTNode* right = BinaryTreeFind(root->right, x);
	if (right)
	{
		return right;
	}
	return NULL;
}

//⼆叉树销毁
void BinaryTreeDestory(BTNode** root)
{
	if (*root == NULL)
	{
		return;
	}
	BinaryTreeDestory(&(*root)->left);
	BinaryTreeDestory(&(*root)->right);
	free(*root);
	*root = NULL;
}

//层序遍历
void LevelOrder(BTNode* root)
{
	if (root == NULL)
	{
		return;
	}
	Queue q;
	QueueInit(&q);

	QueuePush(&q, root);
	while (!QueueEmpty(&q))
	{
		BTNode* top = QueueFront(&q);
		QueuePop(&q);
		printf("%c ", top->data);
		if (top->left)
		{
			QueuePush(&q, top->left);
		}
		if (top->right)
		{
			QueuePush(&q, top->right);
		}
	}
	QueueDestroy(&q);
}

//是否为完全二叉树
bool BinaryTreeComplete(BTNode* root)
{
	Queue q;
	QueueInit(&q);
	
	QueuePush(&q, root);
	while (!QueueEmpty(&q))
	{
		BTNode* top = QueueFront(&q);
		QueuePop(&q);
		if (top == NULL)
		{
			break;
		}
		QueuePush(&q, top->left);
		QueuePush(&q, top->right);
	}
	while (!QueueEmpty(&q))
	{
		BTNode* top = QueueFront(&q);
		QueuePop(&q);
		if (top != NULL)
		{
			return false;
		}
	}
	QueueDestroy(&q);
	return true;

}